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Warm up. Review HW. Case I: Central Angle: Vertex is AT the center. A. . P. B. Case II: Inscribed Angle: Vertex is ON circle. . ANGLE. ARC. ARC. . ANGLE. 160 . The arc is twice as big as the angle!!. 80 . Find the value of x and y. 120 . . x. . y. . J. K. Q. - PowerPoint PPT Presentation
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72˚
If two inscribed angles intercept the same arc, then they are congruent.
Find the measure of DOG and DIG D
O
G
I
If all the vertices of a polygon touch the edge of the circle, the polygon is INSCRIBED and the circle is CIRCUMSCRIBED.
If a right triangle is inscribed in a circle then the hypotenuse is the diameter of the circle.
diameter
4x – 14 = 90
H
K
GN
Example 4
In K, GH is a diameter and mGNH = 4x – 14. Find the value of x.
x = 26
Bonus: What type of triangle is this? Why?